I sort of am going with the idea that Miss Fine is influencing people around her, but Karyn herself is avoiding her.
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Sarah is trying to make Karyn's identity her own. So she stole Karyn's clothes for herself and may do more of that.
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Miss Fine just gave Biff a suggestion that swapped Karyn and Sarah in his mind.
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She's tried to replace Karyn in Jon's mind with herself...at least during the transition.
So on...